{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Decision Tree\n",
    "\n",
    "## create and pruning a decision tree\n",
    "\n",
    "purity and information entropy\n",
    "\n",
    "$$ Entropy(t) = - \\sum p(t)log_2 p(t) $$\n",
    "\n",
    "pre pruning and post pruning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# entropy figure\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x=np.arange(0.01,1,0.01)\n",
    "y=-x*np.log2(x)-(1-x)*np.log2(1-x)\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.971\n"
     ]
    }
   ],
   "source": [
    "# entropy\n",
    "x = np.array([6,9])\n",
    "entropy = lambda x:-np.sum([j*np.log2(j) for j in [i/np.sum(x) for i in x]])\n",
    "print(\"{:.3}\".format(entropy(x)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepare data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "iris=load_iris()\n",
    "features = iris.data\n",
    "labels = iris.target\n",
    "# random split 33% to test dataset\n",
    "train_features, test_features, train_labels, test_labels = train_test_split(features, labels, test_size=0.33, random_state=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ID3\n",
    "Information Gain\n",
    "$$ Gain(D,a) = Entropy(D) - \\sum_{i=1}^k \\frac{|D_i|}{|D|}Entropy(D_i) $$\n",
    "$D$ is parent node, $D_i$ is child node, $a$ is selected feature"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## C4.5\n",
    "Information Gain Ratio\n",
    "$$ IGR(D,a) = Gain(D,a)/Entropy(a) $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CART\n",
    "Classification And Regression Tree\n",
    "\n",
    "Use gini for classification, use mean variance MSE(Mean Squared Error) for regression\n",
    "$$ Gini(t) = 1 - \\sum_k [p(C_k|t)]^2 $$\n",
    "for binary classification k = 2\n",
    "$$ Gini(p) = 2p(1-p) $$\n",
    "$$ Gini(D,a) = \\frac{D_1}{D} Gini(D_1) + \\frac{D_2}{D} Gini(D_2) $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# gini vs entropy figure\n",
    "x=np.arange(0.01,1,0.01)\n",
    "g=2*x*(1-x)\n",
    "e=-x*np.log2(x)-(1-x)*np.log2(1-x)\n",
    "plt.plot(x, e/2)\n",
    "plt.plot(x, g)\n",
    "plt.legend(['entropy/2','gini'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Classification Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CART accuracy 0.9800\n"
     ]
    }
   ],
   "source": [
    "clf = DecisionTreeClassifier(criterion='gini')\n",
    "clf = clf.fit(train_features, train_labels)\n",
    "test_predict = clf.predict(test_features)\n",
    "score = accuracy_score(test_labels, test_predict)\n",
    "print(\"CART accuracy %.4lf\" % score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# display graphviz\n",
    "from sklearn import tree\n",
    "from IPython.display import Image\n",
    "import pydotplus\n",
    "dot_data = tree.export_graphviz(clf, out_file=None,\n",
    "                         feature_names=iris.feature_names,\n",
    "                         class_names=iris.target_names,\n",
    "                         filled=True, rounded=True,\n",
    "                         special_characters=True)\n",
    "graph = pydotplus.graph_from_dot_data(dot_data)\n",
    "Image(graph.create_png())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Regression Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.datasets import load_boston\n",
    "from sklearn.metrics import r2_score,mean_absolute_error,mean_squared_error\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "# Prepare data\n",
    "boston=load_boston()\n",
    "features = boston.data\n",
    "prices = boston.target\n",
    "train_features, test_features, train_price, test_price = train_test_split(features, prices, test_size=0.33)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rt LSD: 35.31041916167665\n",
      "rt LAD: 3.481437125748503\n"
     ]
    }
   ],
   "source": [
    "dtr=DecisionTreeRegressor()\n",
    "dtr.fit(train_features, train_price)\n",
    "predict_price = dtr.predict(test_features)\n",
    "print('rt LSD:', mean_squared_error(test_price, predict_price))\n",
    "print('rt LAD:', mean_absolute_error(test_price, predict_price)) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### digits dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CART digits accuracy 0.8586\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits=load_digits()\n",
    "features=digits.data\n",
    "labels=digits.target\n",
    "train_features,test_features,train_labels,test_labels=train_test_split(features,labels,test_size=0.33,random_state=0)\n",
    "\n",
    "clf=DecisionTreeClassifier(criterion='gini')\n",
    "clf=clf.fit(train_features,train_labels)\n",
    "test_predict=clf.predict(test_features)\n",
    "score=accuracy_score(test_labels,test_predict)\n",
    "print(\"CART digits accuracy %.4lf\"%score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# graphviz output to file\n",
    "dot_data = tree.export_graphviz(clf, out_file=None)\n",
    "graph = pydotplus.graph_from_dot_data(dot_data) \n",
    "graph.write_pdf(\"digits.pdf\")"
   ]
  }
 ],
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